Numerical solution of non-linear creep problems with application to plates

Abstract A general numerical method of time integration of non-linear integral-type creep problems is presented. This method reduces the creep problem to a sequence of elasticity problems with initial strains. Its practical feasibility and convergence is proved by the analysis of a rectangular plate, and the accuracy of various types of the method is empirically studied. For the special case of a degenerate memory function, an efficient, storage and time saving modification is derived. In addition, the numerical methods for rate-type creep are also studied.